Let's divide 575678 by 45
We're looking to find how many times 45 goes into 575678.

Moving on to step 1:
45 can be fit into 5 0 times, resulting in a remainder of 5.
The next digit of our result is 0. 
Result so far: 0.0
Subtracting 0 from 5 leaves us with 5.
Bring next digit (7) of the dividend behind the 5 and repeat the process: 57 / 45

On to step 2:
The number 45 fits into 57 1 times, leaving a remainder of 12.
The number 1 becomes the next digit in our result. 
Result so far: 1.0
If we subtract 45 from 57, we get 12.
Grab the next digit (5) from the dividend, add it to 12, then carry on: 125 / 45

Step 3:
The number 45 fits into 125 2 times, leaving a remainder of 35.
Record the quotient 2 as the next digit in the result. 
Result so far: 12.0
The remainder is 35 after subtracting 90 from 125.
Include the next digit (6) from the dividend after 35, then repeat: 356 / 45

Advancing to step 4:
If we divide 356 by 45, we get 7 and a remainder of 41.
The number 7 becomes the next digit in our result. 
Result so far: 127.0
Subtract 315 from 356 to get 41.
Append the next digit (7) from the dividend to 41 and continue with: 417 / 45

Moving on to step 5:
45 can be fit into 417 9 times, resulting in a remainder of 12.
Use 9 as the next digit of our solution. 
Result so far: 1279.0
Subtracting 405 from 417 leaves us with 12.
Bring next digit (8) of the dividend behind the 12 and repeat the process: 128 / 45

Let's proceed to step 6:
45 goes into 128 2 times with a remainder of 38.
Put 2 as the next digit of the answer. 
Result so far: 12792.0
If we take 90 away from 128, we end up with 38.
Since there are no more digits in the dividend, we add a zero to the remainder making it 380, and continue the process.

On to step 7:
If we divide 380 by 45, we get 8 and a remainder of 20.
Record the quotient 8 as the next digit in the result. 
Result so far: 12792.8
Subtracting 360 from 380 leaves us with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

On to step 8:
45 can be fit into 200 4 times, resulting in a remainder of 20.
The next digit of our result is 4. 
Result so far: 12792.84
If we take 180 away from 200, we end up with 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

Advancing to step 9:
When dividing 200 by 45, we get 4 with a remainder of 20.
Put 4 as the next digit of the answer. 
Result so far: 12792.844
Subtract 180 from 200 to get 20.
Since there are no more digits in the dividend, we add a zero to the remainder making it 200, and continue the process.

After the division, we end up with 12792.844 and a remainder of 0.002.